4106593942817 has 2 divisors, whose sum is σ = 4106593942818. Its totient is φ = 4106593942816.

The previous prime is 4106593942811. The next prime is 4106593942837. The reversal of 4106593942817 is 7182493956014.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3244065674641 + 862528268176 = 1801129^2 + 928724^2 .

It is a cyclic number.

It is not a de Polignac number, because 4106593942817 - 2¹² = 4106593938721 is a prime.

It is a super-2 number, since 2×4106593942817² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4106593942811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2053296971408 + 2053296971409.

It is an arithmetic number, because the mean of its divisors is an integer number (2053296971409).

It is a 1-persistent number, because it is pandigital, but 2⋅4106593942817 = 8213187885634 is not.

Almost surely, 2^{4106593942817} is an apocalyptic number.

It is an amenable number.

4106593942817 is a deficient number, since it is larger than the sum of its proper divisors (1).

4106593942817 is an equidigital number, since it uses as much as digits as its factorization.

4106593942817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 4106593942817 in words is "four trillion, one hundred six billion, five hundred ninety-three million, nine hundred forty-two thousand, eight hundred seventeen".